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arXiv · 0709.3831

Noncommutative Point Sources

A. Stern
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Abstract

We construct a perturbative solution to classical noncommutative gauge theory on ${\mathbb{R}}^{3}$ minus the origin using the Groenewald-Moyal star product. The result describes a noncommutative point charge. Applying it to the quantum mechanics of the noncommutative hydrogen atom gives shifts in the $1S$ hyperfine splitting which are first order in the noncommutativity parameter.

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A. Stern. 2007-09-24. Noncommutative Point Sources. https://doi.org/10.1103/physrevlett.100.061601

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